SOLUTION: A, B, C, D, and E are collinear points. AE = 34, BD = 16, and AB = BC = CD. What is the length of CE?

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Question 1208110: A, B, C, D, and E are collinear points. AE = 34, BD = 16,
and AB = BC = CD. What is the length of CE?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
A          B         C       D       E
-----------|---------|-------|-------|----


          |__________16______|


|______________________34____________|

If x=AB=BC=CD then
2x=16
x=8.

From that,
3x%2BDE=34
DE=34-3x
DE=34-24
DE=10

Question asked for CE.
CE=CD%2BDE
CE=x%2B10
CE=8%2B10
highlight%28CE=18%29